P: A 8% coupon, 30-year maturity bond with par value of S1,000. Assume annual interest rate is 8% (1) What is the bond's price using semiannual compounding? (2) Ifr-10%, what is P?
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- Consider a 25-year bond with a face value of $1,000 that has a coupon rate of 5.8%, with semiannual payments. a. What is the coupon payment for this bond? b. Draw the cash flows for the bond on a timeline. a. What is the coupon payment for this bond? The coupon payment for this bond is $ *** (Round to the nearest cent.)4) A coupon bond pays this amount every 6 months; $ 30.00 bgs for the number of payments/year; 2 The bond also pays at maturity the par (face) value; $ 1,000.00 Number of years until maturity 15 The required return of holders of this bond is; 8.00% bgs a) What is the PV of the CFs, or what would be the fair price to purchase this bond? b) If the required return of holders of this bond is; 6.00% bgs What is the PV of the CFs, or what would be the fair price to purchase this bond? c) If the required return of holders of this bond is; 4.00% What is the PV of the CFs, or what would be the fair price to purchase this bond? to purchase this bond? bgs d) If the previous bond sells for; $ (976.00) What must be the yield to maturity for this bond (aka IRR) ? (to…Let's denote the price of a nonmaturing bond (called a consol) as P. The equation that indicates this price is Pn =-, where I is the annual net income the bond generates and r is the nominal market interest rate. a. Suppose that a bond promises the holder $200 per year forever. The nominal market interest rate is 6 percent. Calculate the bond's current price: S. (Round your answer to the nearest whole dollar.)
- Suppose you observe the following zero - coupon bond prices per $1 of maturity payment: 0.96154 (1-year), 0.91573 (2-year), 0.87630(3-year), 0.82270 (4- year), 0.77611 (5-year). What is the par coupon rate for the 4-year bond? Question 3 options: 3.999834% 4.488965% 4.492350 % 4.957679 % 5.144082%Consider a bond with a face value of $1,000 that sells for an initial price of $700. It will pay no coupons for the first nine years and will then pay 11% coupons for the remaining 29 years. Choose an equation showing the relationship between the price of the bond, the coupon (in dollars), and the yield to maturity. O A. B. O C. O D. 700 = 700 = 700 = 700 = 110 110 9 (1+i)⁹ (1+i)⁹+1 + 110 + i) ⁹ + 1 (1 + 1,000 (1+i) 29-9 1,000 (1 + i) 9 +29 + +...+ 110 (1+i) 9+2 + 110 (1 + i)9+29-1 110 + (1 + i) ⁹ + 110 (1+i)9 +29 9+29-1 + 110 (1 + i)9 +29 + 1,000 (1+i) 9+29What is the price of the following bond? Face value/redemption price : P1,037 Maturity: 10yrs Coupon rate: 9% Discount rate: 9% **Coupon rate (regular payment) Pls show the whole solution thank you!
- Suppose that the prices of zero-coupon bonds with various maturities are given in the following table. The face value of each bond is $1,000. Maturity (Years) 1 2 3 4 5 Price $983.78 865.89 797.92 732.00 660.24 Required: a. Calculate the forward rate of interest for each year. b. How could you construct a 1-year forward loan beginning in year 3? c. How could you construct a 1-year forward loan beginning in year 4?A bond that pays interest semiannually has a price of $981.73 and a semiannual coupon payment of $27.75. If the par value is $1,000, what is the current yield?Consider an annual 2 year coupon bond paying a coupon rate of 7%. If it is 1000 par and the YTM= .06 A) What is the price of this bond? Answer: 1018.33 B) What is thebond’s modified duration? Answer: 1.82 C) Use the bond’s modified duration to estimate the pricechange of the bond if YTM changes to .055. (So positiveprice change of $40.2 would be written 40.2 and a negativeprice change of $40.2 would be writen as-40. Answer: 9.29 D) Price at 10 yearsemi-annual coupon bond with a 5%coupon rate and a YTM of 8%. If par is 1000. Answer: 796.14 Note: Please explain without using excel.Thanks
- Suppose the current price of the bond is $95, the YTM is 4%, and the duration of the bond is 9. If YTM decrease from 4% to 3.9%, approximate the change in price using duration of the bond. Price would increase by ____%If you have a coupon bond, its face value is $1,000 and the coupon rate is 4%. Complete the following table, then calculate the rate of return for the bond. If you know that it was purchased at the nominal value, comment on the results. due date return at maturity the price 2 0.02 3 0.04 5 0.06 Present Value Annuity value % n value % n 0.961 0.02 2 1.97 0.02 2 0.925 0.04 2 1.89 0.04 2 0.889 0.04 3 2.78 0.04 3 0.906 0.02 5 4.71 0.02 5 0.747 0.06 5 4.21 0.06 5Suppose a ten-year, $1,000 bond with an 8.4% coupon rate and semiannual coupons is trading for $1,034.84. a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)? b. If the bond's yield to maturity changes to 9.9% APR, what will be the bond's price? **** a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)? The bond's yield to maturity is%. (Round to two decimal places.)